Slides & Notes


 

Slides

Topics

Matlab files

Sections

1

Lecture1

1DFEM

Analysis

comp_implement

Error Analysis

error_computations

ElementByElement

Minimization_prob

One Dimension FEM

example_1D.m (right click then save as)

element_by_element

2.3 + 5.1+Appendex A

2

classifications

Preliminaries & Classification of 2ed order linear PDE  

1.1 + 1.2

3

Elliptic

pdetool

triangulation

pw-linear space

2D_Imple

Error_analysis

Finite Element Method for Elliptic Equation (2DFEM) car example   square example

fem_2d.rar

3.5 + 3.6 + 5.2

4

poisson_eq

FDM_Error_analysis

Finite Difference Method for Elliptic equations   3.1+ 3.2 + 4.2

5

IVP_ODE

IVP for ODE  

7.1 + 7.2

6

FDM_parabolic

FEM_heat

proof

 

Finite Difference Method for Parabolic equations   8.3 + 8.4 + 9.1 + 9.2

7

FEM_wave

Finite Element Method for Hyperbolic equations wave.rar 11.2 + 11.3 +13.1 + 13,2
8 CFL Condition

ADI

Finite Difference Method for Hyperbolic equations   14.1 + materials
9 MixedFEM Mixed Finite Element Method   5.7 + materials
10   A posteriori error (Adaptive)   5.5
11

Iterative Method

Multigrid

nonlinear

Krylov

Iterative Methods, Multigrid, Nonlinear Problmes   B.4 + B.5
 

Final Examination    7:00 pm - 10:00 pm   SAT May 23, 2015

 

 

 

 

 

 

 

Lecture

1

2

3

4

1

lecture1.pdf

 

 

 

2

lecture2.ppt

lecture2.pdf

 

 

4

lecture4.ppt

lecture4.pdf

FEM_example.ppt

lecture4.nb

matlab

pdetool.ppt

car.m

pdetoolbox.pdf

matlab_primer_3rd.pdf

 

fem.m

 

 

 

 

error_in_L2_norm.ppt

FEM_for_parabolic.ppt

 

 

 

numerical_ode.ppt

FEM_parabolic2.ppt

parbolic.m

a_posteriori.ppt

 

other_methods.ppt